45x45

45x45 is a two-dimensional specification that can denote either a product of two numbers, 45 and 45, or a dimension measuring 45 units by 45 units. In mathematics, 45x45 is read as “forty-five by forty-five” or “forty-five squared” and equals 2025. It is a perfect square, since 45^2 = 2025. The prime factorization of 45 is 3^2 × 5, so 45^2 expands to 3^4 × 5^2.

In geometry and design, 45x45 commonly describes a square region or a grid of 45 by 45 cells. For digital imagery, a 45x45 pixel image has a width and height of 45 pixels; likewise, a 45x45 array can represent a block of data or a tile layout, producing an area of 2025 square units.

In image processing and related fields, a 45x45 array can function as a two-dimensional kernel or filter, used to apply transformations across an image. While larger than typical small-kernel examples, such a size is conceptually possible in specialized applications or when handling high-resolution data.

In practical use, 45x45 may appear as a product code or specification indicating dimensions of objects such as tiles, frames, posters, or panels, with the exact units determined by the context.

See also: 45, square numbers, dimensions, grids, pixels.